We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming the differentiability of \(f\)) we construct some auxilliary functions used in these iterations, which generate bilateral sequences approximating the solution of the considered equation.
(Tiberiu Popoviciu Institute of Numerical Analysis)
nonlinear equations in R; Aitken-Steffensen method.
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